A:
Positive:
1 x 4712188677 x 6731698119 x 24800993133 x 3542999269 x 17517431883 x 2502495111 x 9219713171 x 35777
Negative:
-1 x -471218867-7 x -67316981-19 x -24800993-133 x -3542999-269 x -1751743-1883 x -250249-5111 x -92197-13171 x -35777
Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 471,218,867, it is easier to work with a table - it's called factoring from the outside in.
We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.
| 1 | 471,218,867 | |
| -1 | -471,218,867 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 471,218,867.
Example:
1 x 471,218,867 = 471,218,867
and
-1 x -471,218,867 = 471,218,867
Notice both answers equal 471,218,867
With that explanation out of the way, let's continue. Next, we take the number 471,218,867 and divide it by 2:
471,218,867 ÷ 2 = 235,609,433.5
If the quotient is a whole number, then 2 and 235,609,433.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 471,218,867 | |
| -1 | -471,218,867 |
Now, we try dividing 471,218,867 by 3:
471,218,867 ÷ 3 = 157,072,955.6667
If the quotient is a whole number, then 3 and 157,072,955.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 471,218,867 | |
| -1 | -471,218,867 |
Let's try dividing by 4:
471,218,867 ÷ 4 = 117,804,716.75
If the quotient is a whole number, then 4 and 117,804,716.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 471,218,867 | |
| -1 | 471,218,867 |
If you did it right, you will end up with this table:
| 1 | 7 | 19 | 133 | 269 | 1,883 | 5,111 | 13,171 | 35,777 | 92,197 | 250,249 | 1,751,743 | 3,542,999 | 24,800,993 | 67,316,981 | 471,218,867 |
| -1 | -7 | -19 | -133 | -269 | -1,883 | -5,111 | -13,171 | -35,777 | -92,197 | -250,249 | -1,751,743 | -3,542,999 | -24,800,993 | -67,316,981 | -471,218,867 |
Here are some more numbers to try:
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